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Simplifying -3(t + -5) = 2(t + -5) Reorder the terms: -3(-5 + t) = 2(t + -5) (-5 * -3 + t * -3) = 2(t + -5) (15 + -3t) = 2(t + -5) Reorder the terms: 15 + -3t = 2(-5 + t) 15 + -3t = (-5 * 2 + t * 2) 15 + -3t = (-10 + 2t) Solving 15 + -3t = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + -3t + -2t = -10 + 2t + -2t Combine like terms: -3t + -2t = -5t 15 + -5t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -5t = -10 + 0 15 + -5t = -10 Add '-15' to each side of the equation. 15 + -15 + -5t = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5t = -10 + -15 -5t = -10 + -15 Combine like terms: -10 + -15 = -25 -5t = -25 Divide each side by '-5'. t = 5 Simplifying t = 5
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